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A student throws soft balls out of the w...

A student throws soft balls out of the window at different angles to the horizontal. All soft balls have the same initial speed `v = 10sqrt3 ms^(-1)`. It turns out that all soft balls landing velocities make angles `30^@` or greater with the horizontal. Find the height h (in m) of the window above the ground.

Text Solution

Verified by Experts

Minimum `theta` implies minimum `V_(fy)` and maximum `v_(fx)` In order to have the aforementioned situation, the ball has to be launched horizontally `v_(y)=sqrt(2gh)`
`tan 30^(@)=(v_(y))/(v)=(sqrt(2 xx 10 xx h))/(10 sqrt3) rArr h=5m`
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